What is the name of the shape generated by the vertices of the Soviet pennant on the Luna 2 spacecraft? Is it an polyhedron? xkcd 2125 titled "Luna 2" refers to the object shown below. All faces seem to be pentagons. (found in this question.) ![xkcd.com/2125/ Soviet pennant Luna 2]( ![Soviet pennant Luna 2]( Copy of the Soviet pennant sent on the Luna 2 probe to the moon, at the Kansas Cosmosphere, Source * * * **Question:** What is the name of the polyhedral shape of the Soviet pennant on the Luna 2 spacecraft? **note:** This question is about the shape without the spherical caps, the way that the underlying shape of a football is a truncated icosahedron. In this case though I am not sure if this shape will be a polyhedron or not as the five vertices of the pentagonal faces may not lay in a plane. ![enter image description here]( "Comparison of a truncated icosahedron with the typical appearance of a football/soccer ball." Source

as a 72 faced object, it's a canonical pentagonal heptacontakaidihedron or dokaiheptacontaheron

In Conway terms, it's a spherical quinto dodecahedron 'C969qD' !spherical quinto dodecahedron play with it here

However, I've not seen much about quinto outside the wikidpedia page and that viewer, so I'm no longer so sure about it. Another Conway recipe, 't5oD' is very similar.